The propagation of small perturbations in a viscoelastic fluid

DOI10.1016/0021-8928(70)90006-7zbMath0227.76010OpenAlexW234901391MaRDI QIDQ2549634

I. M. Rutkevich

Publication date: 1970

Published in: Journal of Applied Mathematics and Mechanics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0021-8928(70)90006-7

Mathematics Subject Classification ID

Asymptotic methods, singular perturbations applied to problems in fluid mechanics (76M45) Boundary-layer theory, separation and reattachment, higher-order effects (76D10) Viscoelastic fluids (76A10)

Related Items (12)

A local existence and uniqueness theorem for a K-BKZ-fluid ⋮ Isothermal tube flow of non-linear viscoelastic fluids. I: Constitutive instabilities and the longitudinal field ⋮ Short-wave instabilities and ill-posed initial value problems ⋮ Hyperbolic submodels of an incompressible viscoelastic Maxwell medium ⋮ Theoretical and numerical comparison of hyperelastic and hypoelastic formulations for Eulerian non-linear elastoplasticity ⋮ Propagation of small disturbances on large deformations in a viscoelastic fluid ⋮ On the thermodynamic interpretation of the evolutionary conditions of the equations of the mechanics of finitely deformable viscoelastic media of Maxwell type ⋮ A stable and convergent scheme for viscoelastic flow in contraction channels ⋮ Wave motions of a liquid in tubes of viscoelastic material. Waves of small amplitude ⋮ Finite elements for viscoelastic flows with change of type ⋮ On the numerical stability of mixed finite-element methods for viscoelastic flows governed by differential constitutive equations ⋮ Hyperbolicity and change of type in the flow of viscoelastic fluids

Cites Work

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• A Rheological Equation of State which Predicts Non-Newtonian Viscosity, Normal Stresses, and Dynamic Moduli
• The hydrodynamics of materials whose rheological properties are complicated
• Reducible Problems in Magneto-Fluid Dynamic Steady Flows
• Stress waves in solids
• Some Special Cases Treated by the Whitham Theory

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